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Finding the Third Proportional to 6,484,012 and 10,171,140

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Solution

The third proportional to 6,484,012 and 10,171,140 is: 15,954,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484,012 : 10,171,140 = 10,171,140 : x
  2. Step 2: Convert to fraction form
    6,484,012/10,171,140 = 10,171,140/x
  3. Step 3: Cross multiply
    6,484,012x = 10,171,140 × 10,171,140
  4. Step 4: Simplify right side
    6,484,012x = 103,452,088,899,600
  5. Step 5: Solve for x
    x = 103,452,088,899,600/6,484,012
  6. Step 6: Final answer
    x = 15,954,950.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.